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Topic: Recursive set

Related Topics

Recursively enumerable

Decision problem

Undecidable

Formal system

Mathematical logic

Symbolic logic

Principia Mathematica

Complexity classes P and NP

Artificial consciousness

Turing test

Alan Turing

Artificial intelligence

	Recursively enumerable set - Wikipedia, the free encyclopedia
		Every recursive set is recursively enumerable, but it is not true that every recursively enumerable set is recursive.
		A recursively enumerable language is a recursively enumerable subset of a formal language.
		The preimage of a recursively enumerable set under a partial recursive function is a recursively enumerable set.
	en.wikipedia.org /wiki/Recursively_enumerable (791 words)

	Recursive set - Wikipedia, the free encyclopedia
		In computability theory, a set of natural numbers is called recursive, computable or decidable if there is an algorithm which terminates after a finite amount of time and correctly decides whether or not a given number belongs to the set.
		A recursive language is a recursive subset of a formal language.
		The preimage of a recursive set under a total computable function is a recursive set.
	en.wikipedia.org /wiki/Recursive_set (304 words)

	COCS5330TEST-1:1999 (Site not responding. Last check: 2007-10-31)
		As a set, this is finite and hence recursive.
		The existence of an R.E. set that is not recursive implies the existence of a TM whose halting problem is unsolvable.
		A recursive set is one for which the membership question (for any possible member, of course) is definitely answered by a program whether the answer is positive or negative.
	hal.lamar.edu /~KOH/5330/5330T1.HTML (643 words)

	Practice Questions on Recursive Definition (Site not responding. Last check: 2007-10-31)
		Sets which have too many elements to list them up, and for which there are no convenient or obvious predicates to specify their elements can often be defined using a
		Next, the rules to be used to generate elements of the set from elements already known to be in the set (initially the seeds) are given.
		This part of the definition specifies the "seeds" of the set from which the elements of the set are generated using the methods given in the inductive clause.
	www.cs.odu.edu /~toida/nerzic/content/recursive_def/rec_def.html (1030 words)

	Peter Suber, "Glossary of First-Order Logic"
		The set {a, b, c} is enumerated by the sequence , but also by the sequence ; it is not enumerated by the sequence .
		A property possessed by all the wffs in a set is logically hereditary iff the accepted rules of inference pass it on (transmit it) to all the conclusions derivable from that set by those rules.
		The set of all the subsets of a set.
	www.earlham.edu /~peters/courses/logsys/glossary.htm (9715 words)

	PHIL 3340: Review for Exam 1
		a set A is enumerable iff there is a total or partial function from the positive integers to A that is one-to-one and onto.
		a set is recursive iff its characteristic function is recursive.
		recall that, given an appropriate Goedel numbering, the set of deductions is a recursive set; the property of being a deduction of a sentence S from a set of sentences Gamma is recursive; and so on.
	www.trinity.edu /cbrown/metalogic/exam3reviewS06.html (591 words)

	Representation of Set (Site not responding. Last check: 2007-10-31)
		Thus {{1, 2}, {{3}, 2}, 2}, {1 } } is the set of the elements {1, 2}, {{3}, 2} and {1}.
		Then a method is given to generate elements of the set from known elements of the set.
		Thirdly a statement is given that excludes undesirable elements (which may be included in the set otherwise) from the set.
	www.cs.odu.edu /~toida/nerzic/content/set/representation.html (330 words)

	PlanetMath: recursively enumerable
		The set of encodings of Turing machines which halt when given no input.
		The set of encodings of theorems of Peano arithmetic.
		This is version 3 of recursively enumerable, born on 2002-06-05, modified 2002-06-05.
	planetmath.org /encyclopedia/RecursivelyEnumerable.html (109 words)

	HelixTree® \| Technology Review (Site not responding. Last check: 2007-10-31)
		Their conditional gene finding analysis can be viewed as recursive partitioning where the statistical test at the split is a genetic linkage test.
		Recursive partitioning has been highly successful in analyzing single dependent variables that are determined by complex, interacting models, and/or mixtures of models.
		The conceptual underpinnings of multivariate inference-based recursive partitioning are sketched in Hawkins and Kass (1982).
	www.goldenhelix.com /pharmtechreview.html (1408 words)

	A Hierarchy of Formal Languages and Automata
		A language is recursive on a given alphabet if there’s a Turing machine that accepts the language and halts on every string in the alphabet (but not the empty string, remember).
		Theorem 11.5 establishes that the family of recursive languages is a proper subset of the family of recursively enumerable languages, not a surprising fact given the previous theorems.
		The theorems 11.8 and 11.9 show that the set of languages that can be represented by context-sensitive grammars is equivalent to the set of languages represented by linear bounded automata.
	www2.hawaii.edu /~paulac/theory (1253 words)

	9. Recursively Enumerable Sets (Site not responding. Last check: 2007-10-31)
		Thus, we see that the class of sets generated by partial recursive functions is identical to the class of sets accepted by partial recursive functions.
		Proposition 9.3 A set is recursive if and only if both it and its complement are recursively enumerable.
		Since the recursive sets are closed under complementation, it suffices to show that every non-empty recursive set is recursively enumerable.
	www.cs.pitt.edu /~daley/cs2110/notes/cs2110w_node36.html (644 words)

	[No title]
		Recursive algorithms generally consist of an if statement with this form: if this is a simple case solve it else redefine the problem using recursion The recursive approach splits one size-n problem into n size-1 problems.
		Recursive solutions are natural for a varying-length list, such as a string.
		Figure 10.24 (pg 528) is the recursive function tower, which passes (from, to, auxiliary, number of pegs) into the function, then calls itself twice.
	grail.cba.csuohio.edu /~jackie/cis500/notes/cis50020.txt (1233 words)

	[No title]
		A set that is “self-referential” and for which there is a decision procedure for determining whether or not something belongs in that set is recursive.
		recursion - Recursion is when an object is being defined in terms of itself, but a simpler form of itself.
		If the set does not include itself, then it is in the set, but since the set then includes itself, it is not in the set.
	community.middlebury.edu /~dwalker/class/glossary/r.html (688 words)

	The Factasia Glossary - R
		a recursive function is one which is effectively computable, whose evaluation always terminates with a result.
		a set is recursive if the question of membership in the set is effectively decidable.
		a set is recursively enumerable if there is an effective procedure for enumerating the members of the set.
	www.rbjones.com /rbjpub/philos/glossary/r.htm (251 words)

	Mass Problems and Randomness
		consisting of the recursively enumerable Turing degrees, i.e., the Turing degrees of recursively enumerable sets of positive integers.
		The set of all recursively enumerable Turing degrees is denoted
		sets, there is reason to view weak reducibility as the mass problem analog of Turing reducibility, while strong reducibility is the mass problem analog of truth table reducibility.
	www.math.psu.edu /simpson/papers/massrand/massrand.html (2011 words)

	Final Exam Study Notes, CS 532/051, 092, 251, Spring 2006, IIT
		L ∈ C } be the set of complements of the languages of C. If the intersection of an arbitrary set of regular languages were always regular, then ∩ co-C = ¬ (∪ C) would be regular, so ∪ C would be regular.
		True: If L is recursive then ¬L is recursive, and all recursive sets are r.e.
		This would increase the set of languages decidable in finite time because we would be able to perform an infinite number of calculations in finite time (by geometric progression).
	www.cs.iit.edu /~cs532/Notes/FX_Study.html (2006 words)

	Math Forum Discussions
		Re: is the set of Pi_1 theorems recursive?
		> Is the set of Pi_1 theorems of Peano arithmetic nonrecursive?
		Peano and the set of Pi_1 antitheorems (=negation is a theorem) are
	mathforum.org /kb/thread.jspa?threadID=1343048&messageID=4507338 (771 words)

	[No title] (Site not responding. Last check: 2007-10-31)
		Assume that L is an infinite recursively enumerable language.
		The complement of a recursive set is recursive, p.
		A problem is semidecidable iff the set of instances for which the answer is "yes" is an r.e.
	mathcs.sjsu.edu /faculty/smithj/oldclass/288s05/formal-languages.txt (796 words)

	Recursive structures for mathematics
		We can define the set of all recursive ordinal notations but there is no general way to determine what elements belong to that set.
		Of course it is useful to talk about the set of all recursive ordinals and I am not advocating that we abandon thinking or doing mathematics in that way.
		For every recursive ordinal there must be some expansion that includes that ordinal and that expansion must itself be expandable to all larger recursive ordinals.
	www.mtnmath.com /book/node62.html (838 words)

	Zhihong Zuo, Mingtian Zhou 'Some Further Theoretical Results about Computer Viruses' (VX heavens) (Site not responding. Last check: 2007-10-31)
		denotes the set of all resident viruses that have a fixed kernel.
		is a recursively enumerable set certainly, but does not have to be a recursive set.
		is a recursive set and contradicts Lemma 4.2.
	vx.netlux.org /lib/mzz00.html (2503 words)

	Disputatio \| Craig’s Theorem and the Empirical Underdetermination Thesis Reassessed
		Indeed, if the set of desired observation conditionals to be entailed by a theory is finite, we can easily define the theory to be the deductive closure of the conjunction of these observation conditionals; such a theory is obviously unique and unaffected by empirical underdetermination.
		Similarly, if the set of observation conditionals is infinite, but exhibits so much structure that its deductive closure can be expressed as the deductive closure of a finite theory formulation, it is also possible to construct a tightly fitting theory.
		Hence we see that the set of genuine observation conditionals of Newton’s theory by no means logically determines the set of all those sentences of the theory that are expressible in the ‘observational’ vocabulary.
	members.tripod.com /Lonego/guestfiles/list.htm (3997 words)

	Logic, 8
		Therefore the valuation which sets all Ki to true will satisfy all the elements of G. Another proof is as follows: we use Konig’s lemma, which claims that if T is a binary branching tree, such that every branch is finite, the number of nodes is finite.
		A model @ of a set of sentences G is an L-structure that satisfies @ = f for all f in G. We next prove the first-order logic compactness theorem, which states that if a set of sentences G is such that each finite subset of G has a model, then G has a model.
		Recursively enumerable can be thought of as being able to find the positive cases, but not the negative ones – i.e., one cannot falsify some inclusion in the set, since the program may not converge.
	www.media.mit.edu /physics/pedagogy/babbage/texts/rt.html (8591 words)

	[No title] (Site not responding. Last check: 2007-10-31)
		A set is Recursive if and only if it and its complement are RE.
		Given a set R and a possible member x, the question of whether or not x is indeed
		Now, we claim that the complement of this set K is not RE, and hence K is not Recursive while it is RE.
	hal.lamar.edu /~koh/5315/RESET.htm (1092 words)

	The Theory of Computation: Additional Problems 5 (Site not responding. Last check: 2007-10-31)
		Classify each of the following sets and its complement as recursive, nonrecursive r.e., or non-r.e.
		Prove that every infinite recursive set has a non-r.e.
		set that obeys the hypotheses of Rice's theorem is creative.
	www.cs.unm.edu /~moret/computation/add5.html (176 words)

	[No title] (Site not responding. Last check: 2007-10-31)
		If RECURSIVE is nonzero a flag is set in the variable saying that it should be recursively re-expanded.
		If FILE already has a variable set list, the topmost variable set is left intact, but the the rest of the chain is replaced with FILE->parent's setlist.
		The new value comes from the old value, which was expanded when it was set; and from the expanded new value.
	dodgson.ucsd.edu /avanti/src/make-3.75/variable.c (1982 words)

	PHIL 3340: Review for Exam 1
		a function relates two sets: it is from a set A to a set B. (So each of the ordered pairs "in" the function has a first member from A and a second member from B.) We say f: A -> B to indicate that the function f is from A to B. domain, range
		one-to-one/not one-to-one, onto/not onto, total/partial (given two sets, should be able to construct functions that have any combination of one property from each pair)
		a set is effectively decidable iff its characteristic function is effectively computable.
	www.trinity.edu /cbrown/metalogic/exam1review.html (760 words)

	recursive set - OneLook Dictionary Search
		Tip: Click on the first link on a line below to go directly to a page where "recursive set" is defined.
		Recursive Set : Eric Weisstein's World of Mathematics [home, info]
		Phrases that include recursive set: a recursive set, co a recursive set
	www.onelook.com /cgi-bin/cgiwrap/bware/dofind.cgi?word=recursive+set (106 words)

	MATHS: Domains
		Another way of looking at domain theory is to say that it is a way of modelling the fact that certain computations don't have a defined result and using the model to prove that certain computations will ultimately provide as close to a complete definition as we could demand.
		A recursive definition makes sense if (1) the map gives a better approximation - and so (2) there is unique (in some sense) best thing that doesn't change when we apply the map.
		A solution to a recursive set of definitions is the often defined as the least object in the domain that is not changed by applying the definition to it - the least fixed_point(_).
	www.csci.csusb.edu /dick/maths/math_24_Domains.html (945 words)

	Recursive set "Email me when: Comments are added" \| Gallery
		Recursive set "Email me when: Comments are added"
		Recursive set "Email me when: Comments are added"
		Is it possible to apply the flag "Email me when: Comments are added" to all sub-albums or do I need to move through and do it manually.
	gallery.menalto.com /node/13474 (86 words)

	8.2 Algorithmically Unsolvable Problems (Site not responding. Last check: 2007-10-31)
		cannot be partial recursive, so that g and hence f cannot be total recursive.
		Proposition 8.10 If Y is a recursive set and X
		be the everywhere undefined partial recursive function, and assume without loss of generality that
	www.cs.pitt.edu /~daley/cs2110/notes/cs2110w_node35.html (323 words)

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